Combinatorics and Finite Geometry

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Publisher : Springer Nature
ISBN 13 : 3030563952
Total Pages : 374 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Combinatorics and Finite Geometry by : Steven T. Dougherty

Download or read book Combinatorics and Finite Geometry written by Steven T. Dougherty and published by Springer Nature. This book was released on 2020-10-30 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.

Introduction to Finite Geometries

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Author :
Publisher : Elsevier
ISBN 13 : 148327814X
Total Pages : 281 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Introduction to Finite Geometries by : F. Kárteszi

Download or read book Introduction to Finite Geometries written by F. Kárteszi and published by Elsevier. This book was released on 2014-05-12 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Texts in Advanced Mathematics: Introduction to Finite Geometries focuses on the advancements in finite geometries, including mapping and combinatorics. The manuscript first offers information on the basic concepts on finite geometries and Galois geometries. Discussions focus on linear mapping of a given quadrangle onto another given quadrangle; point configurations of order 2 on a Galois plane of even order; canonical equation of curves of the second order on the Galois planes of even order; and set of collineations mapping a Galois plane onto itself. The text then ponders on geometrical configurations and nets, as well as pentagon theorem and the Desarguesian configuration, two pentagons inscribed into each other, and the concept of geometrical nets. The publication takes a look at combinatorial applications of finite geometries and combinatorics and finite geometries. Topics include generalizations of the Petersen graph, combinatorial extremal problem, and theorem of closure of the hyperbolic space. The book is a valuable source of data for readers interested in finite geometries.

Designs and Finite Geometries

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Publisher : Springer Science & Business Media
ISBN 13 : 1461313953
Total Pages : 242 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Designs and Finite Geometries by : Dieter Jungnickel

Download or read book Designs and Finite Geometries written by Dieter Jungnickel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designs and Finite Geometries brings together in one place important contributions and up-to-date research results in this important area of mathematics. Designs and Finite Geometries serves as an excellent reference, providing insight into some of the most important research issues in the field.

Finite Geometries

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540617860
Total Pages : 414 pages
Book Rating : 4.6/5 (178 download)

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Book Synopsis Finite Geometries by : Peter Dembowski

Download or read book Finite Geometries written by Peter Dembowski and published by Springer Science & Business Media. This book was released on 1997 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peter Dembowski was born in Berlin on April 1, 1928. After studying mathematics at the University of Frankfurt of Main, he pursued his graduate studies at Brown Unviersity and the University of Illinois, mainly with R. Baer. Dembowski returned to Frankfurt in 1956. Shortly before his premature death in January 1971, he had been appointed to a chair at the University of Tuebingen. Dembowski taught at the universities of Frankfurt and Tuebingen and - as visiting Professor - in London (Queen Mary College), Rome, and Madison, WI. Dembowski's chief research interest lay in the connections between finite geometries and group theory. His book "Finite Geometries" brought together essentially all that was known at that time about finite geometrical structures, including key results of the author, in a unified and structured perspective. This book became a standard reference as soon as it appeared in 1968. It influenced the expansion of combinatorial geometric research, and left its trace also in neighbouring areas.

Finite Geometries and Designs

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521283787
Total Pages : 381 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Finite Geometries and Designs by : P. J. Cameron

Download or read book Finite Geometries and Designs written by P. J. Cameron and published by Cambridge University Press. This book was released on 1981-04-16 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1981 collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces and Steiner systems, amongst other topics.

Finite Geometries

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Publisher : Springer Science & Business Media
ISBN 13 : 1461302838
Total Pages : 366 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Finite Geometries by : Aart Blokhuis

Download or read book Finite Geometries written by Aart Blokhuis and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: When? These are the proceedings of Finite Geometries, the Fourth Isle of Thorns Conference, which took place from Sunday 16 to Friday 21 July, 2000. It was organised by the editors of this volume. The Third Conference in 1990 was published as Advances in Finite Geometries and Designs by Oxford University Press and the Second Conference in 1980 was published as Finite Geometries and Designs by Cambridge University Press. The main speakers were A. R. Calderbank, P. J. Cameron, C. E. Praeger, B. Schmidt, H. Van Maldeghem. There were 64 participants and 42 contributions, all listed at the end of the volume. Conference web site http://www. maths. susx. ac. uk/Staff/JWPH/ Why? This collection of 21 articles describes the latest research and current state of the art in the following inter-linked areas: • combinatorial structures in finite projective and affine spaces, also known as Galois geometries, in which combinatorial objects such as blocking sets, spreads and partial spreads, ovoids, arcs and caps, as well as curves and hypersurfaces, are all of interest; • geometric and algebraic coding theory; • finite groups and incidence geometries, as in polar spaces, gener alized polygons and diagram geometries; • algebraic and geometric design theory, in particular designs which have interesting symmetric properties and difference sets, which play an important role, because of their close connections to both Galois geometry and coding theory.

Designs and Finite Geometries

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Publisher :
ISBN 13 : 9781461313960
Total Pages : 260 pages
Book Rating : 4.3/5 (139 download)

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Book Synopsis Designs and Finite Geometries by : Dieter Jungnickel

Download or read book Designs and Finite Geometries written by Dieter Jungnickel and published by . This book was released on 2014-01-15 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Geometries and Combinatorial Designs

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821851187
Total Pages : 332 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Finite Geometries and Combinatorial Designs by : Earl Sidney Kramer

Download or read book Finite Geometries and Combinatorial Designs written by Earl Sidney Kramer and published by American Mathematical Soc.. This book was released on 1990 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of an AMS special session on finite geometries and combinatorial designs. Topics range over finite geometry, combinatorial designs, their automorphism groups and related structures.

Geometry, Combinatorial Designs and Related Structures

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Publisher : Cambridge University Press
ISBN 13 : 052159538X
Total Pages : 269 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Geometry, Combinatorial Designs and Related Structures by : J. W. P. Hirschfeld

Download or read book Geometry, Combinatorial Designs and Related Structures written by J. W. P. Hirschfeld and published by Cambridge University Press. This book was released on 1997-08-14 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines state of the art research in finite geometries and designs.

Finite Geometries

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Publisher : CRC Press
ISBN 13 : 1351646389
Total Pages : 274 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Finite Geometries by : Gyorgy Kiss

Download or read book Finite Geometries written by Gyorgy Kiss and published by CRC Press. This book was released on 2019-07-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope. The authors thoroughly explain how the subject of finite geometries is a central part of discrete mathematics. The text is suitable for undergraduate and graduate courses. Additionally, it can be used as reference material on recent works. The authors examine how finite geometries’ applicable nature led to solutions of open problems in different fields, such as design theory, cryptography and extremal combinatorics. Other areas covered include proof techniques using polynomials in case of Desarguesian planes, and applications in extremal combinatorics, plus, recent material and developments. Features: Includes exercise sets for possible use in a graduate course Discusses applications to graph theory and extremal combinatorics Covers coding theory and cryptography Translated and revised text from the Hungarian published version

Finite Groups and Finite Geometries

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Publisher : Cambridge University Press
ISBN 13 : 0521222427
Total Pages : 344 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Finite Groups and Finite Geometries by : T. Tsuzuku

Download or read book Finite Groups and Finite Geometries written by T. Tsuzuku and published by Cambridge University Press. This book was released on 1982-01-21 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 1982 introduction to developments which had taken place in finite group theory related to finite geometries.

Finite Geometries and Block Designs

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Publisher :
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.:/5 (87 download)

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Book Synopsis Finite Geometries and Block Designs by : Timmy Ray Noon

Download or read book Finite Geometries and Block Designs written by Timmy Ray Noon and published by . This book was released on 2013 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This thesis is mainly an exposition to the ideas in finite geometry, specifically affine and projective planes as well as block designs. We conclude with a chapter on how to apply these ideas to coding theory. Some of the results we look at include both the Bruck-Ryser and Bruck-Ryser-Chowla theorems as well as considering isomorphisms and automorphisms of block designs"--Document.

Finite Geometries

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Publisher : Springer Science & Business Media
ISBN 13 : 3642620124
Total Pages : 394 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Finite Geometries by : Peter Dembowski

Download or read book Finite Geometries written by Peter Dembowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peter Dembowski was born in Berlin on April 1, 1928. After studying mathematics at the University of Frankfurt of Main, he pursued his graduate studies at Brown Unviersity and the University of Illinois, mainly with R. Baer. Dembowski returned to Frankfurt in 1956. Shortly before his premature death in January 1971, he had been appointed to a chair at the University of Tuebingen. Dembowski taught at the universities of Frankfurt and Tuebingen and - as visiting Professor - in London (Queen Mary College), Rome, and Madison, WI. Dembowski's chief research interest lay in the connections between finite geometries and group theory. His book "Finite Geometries" brought together essentially all that was known at that time about finite geometrical structures, including key results of the author, in a unified and structured perspective. This book became a standard reference as soon as it appeared in 1968. It influenced the expansion of combinatorial geometric research, and left its trace also in neighbouring areas.

Finite Geometry and Character Theory

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Publisher :
ISBN 13 : 9783662173299
Total Pages : 196 pages
Book Rating : 4.1/5 (732 download)

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Book Synopsis Finite Geometry and Character Theory by : Alexander Pott

Download or read book Finite Geometry and Character Theory written by Alexander Pott and published by . This book was released on 2014-01-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Geometry and Combinatorial Applications

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Publisher : Cambridge University Press
ISBN 13 : 1316301044
Total Pages : 299 pages
Book Rating : 4.3/5 (163 download)

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Book Synopsis Finite Geometry and Combinatorial Applications by : Simeon Ball

Download or read book Finite Geometry and Combinatorial Applications written by Simeon Ball and published by Cambridge University Press. This book was released on 2015-06-26 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from a geometrical point of view, and a chapter on maximum distance separable codes, which includes a proof that such codes over prime fields are short. The author also provides more than 100 exercises (complete with detailed solutions), which show the diversity of applications of finite fields and their geometries. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry.

Finite Geometries and Designs

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Publisher : Cambridge University Press
ISBN 13 : 9780521283786
Total Pages : 0 pages
Book Rating : 4.2/5 (837 download)

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Book Synopsis Finite Geometries and Designs by : P. J. Cameron

Download or read book Finite Geometries and Designs written by P. J. Cameron and published by Cambridge University Press. This book was released on 1981-04-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1981, this collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces, Steiner systems, coding theory, group theory, block designs, generalized quadrangles, and projective planes. There is a comprehensive introduction, which aims to interest the non-specialist in the subject and which indicates how the contributions fit together. This is a field of research pursued both for its intrinsic interest and its applications. These papers include a number of open problems whose statement requires very little mathematical sophistication.

Advances in Finite Geometries and Designs

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Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advances in Finite Geometries and Designs by : James William Peter Hirschfeld

Download or read book Advances in Finite Geometries and Designs written by James William Peter Hirschfeld and published by . This book was released on 1991 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises papers presented at the Third Isle of Thorns Conference on Finite Geometries and Designs. The papers explore the structure and associated incidence structures of Galois geometries, and their related automorphism groups. Among the main topics covered are generalized quadrangles and n-gons, groups acting on geometries, linear spaces, partial geometries, diagram geometries, non-Desarguesian planes, strongly regular graphs, and designs. This timely collection of articles is expertly presented and will be of interest to research workers and postgraduates in combinatorics, design theory, and finite geometries.